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Finding the Fourth Proportional to 343.66, 473.25 and 256.18

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Solution

The fourth proportional to 343.66, 473.25 and 256.18 is: 352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.66 : 473.25 = 256.18 : x
  2. Step 2: Convert to fraction form
    343.66/473.25 = 256.18/x
  3. Step 3: Cross multiply
    343.66x = 473.25 × 256.18
  4. Step 4: Simplify right side
    343.66x = 121,237.19
  5. Step 5: Solve for x
    x = 121,237.19/343.66
  6. Step 6: Final answer
    x = 352.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.